A. Haraux

activity

20152023

most citedThe convergence problem for dissipative autonomous systems: classical methods and recent advances

18 citations · 29 across the 6 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.AP2019

On spatial Gevrey regularity for some strongly dissipative second order evolution equations

Alain Haraux, Mitsuharu Otani

Let A be a positive self-adjoint linear operator acting on a real Hilbert space H and $α$ , c be positive constants. We show that all solutions of the evolution equation u + Au + cA…

math.DS2019

A sharp stability criterion for single well Duffing and Duffing-like equations

Alain Haraux

We refine some previous sufficient conditions for exponential stability of the linear ODE $u^{''} + c u^{'} + (b + a (t)) u = 0$ where $b, c > 0$ and $a$ is a bounded nonnegative time depende…

math.AP2019

Small perturbations for a Duffing-like evolution equation involving non-commuting operators

Marina Ghisi, Massimo Gobbino, Alain haraux

We consider an abstract evolution equation with linear damping, a nonlinear term of Duffing type, and a small forcing term. The abstract problem is inspired by some models for damp…